Finding the Third Proportional to 8,722.50 and 12,800.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,722.50 : 12,800.25 = 12,800.25 : x
2. Step 2: Convert to fraction form
   8,722.50/12,800.25 = 12,800.25/x
3. Step 3: Cross multiply
   8,722.50x = 12,800.25 × 12,800.25
4. Step 4: Simplify right side
   8,722.50x = 163,846,400.06
5. Step 5: Solve for x
   x = 163,846,400.06/8,722.50
6. Step 6: Final answer
   x = 18,784.34